Daily Practice

Higher Plus

5th December 1975

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 12. Work out y when x = 2.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = c. M is the point dividing AB in the ratio 3 : 1. Write vector OM in terms of m and c.
3
Probability Equation Questions3 marks
The probability of winning a game is 7/8. A player expects 91 wins. How many games did they play?
4
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 0.5, 3, 1, 2. Which class contains the median?
5
Surds3 marks
Rationalise the denominator of 21/sqrt(3), giving your answer in its simplest form.

You are looking at an earlier sheet. Today's sheet is the one that adds a day.

Your run is kept in this browser only, and there is no account.

Any date always gives the same five questions, so a sheet can be set again or shared. All of December 1975, including the monthly compilation PDF.